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ON A LIE RING OF GENERALIZED INNER DERIVATIONS

Aydin, Neset; Turkmen, Selin


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{
  "DOI": "10.4134/CKMS.c170019", 
  "abstract": "In this paper, we define a set including of all f(a) with a is an element of R generalized derivations of R and is denoted by f(R). It is proved that (i) the mapping g : L (R) -> f(R) given by g (a) = f(-a) for all a is an element of R is a Lie epimorphism with kernel N-sigma,N-tau; (ii) if R is a semiprime ring and sigma is an epimorphism of R, the mapping h : f(R) -> I (R) given by h(f(a)) = i(sigma)(-a) is a Lie epimorphism with kernel 1 (f(R)); (iii) if f(R) is a prime Lie ring and A, B are Lie ideals of R, then [f(A), f(B)] = (0) implies that either f(A) = (0) or f(B) = (0).", 
  "author": [
    {
      "family": "Aydin", 
      "given": " Neset"
    }, 
    {
      "family": "Turkmen", 
      "given": " Selin"
    }
  ], 
  "container_title": "COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY", 
  "id": "52043", 
  "issue": "4", 
  "issued": {
    "date-parts": [
      [
        2017, 
        1, 
        1
      ]
    ]
  }, 
  "page": "827-833", 
  "title": "ON A LIE RING OF GENERALIZED INNER DERIVATIONS", 
  "type": "article-journal", 
  "volume": "32"
}
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